The 68-year-old former Beatle took home the solo rock vocal performance statuette for the 42-year-old Beatles tune, which he dusted off for his 2009 live album "Good Evening New York City."
It marked his 14th Grammy, of which 10 were Beatle-related, spanning 1965 to a reissue project in 1997.
Sir Paul was not there to collect the Grammy because he was attending the Baftas in London.
As a solo artist, he last won a Grammy in 1972 for his arrangement of "Uncle Albert/Admiral Halsey." He followed that with a pair for Wings, his post-Beatles vehicle, in 1975 and 1980.
Sir Paul frequently lands Grammy nominations - 11 since 2005 alone - but has been beaten by the likes of Bruce Springsteen, Amy Winehouse and Justin Timberlake in recent years.